SATS :: Volume #9

#837: From method of boundary approximation!


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Successfully killed the time to end to the banquet in the balcony, left behind two bills after the tray of hotel waiter, Lu Zhou then goes to the parking lot immediately, sits that has been waiting for the black red flag. 在阳台上成功消磨时间到了宴会结束,在酒店侍者的托盘上留下了两张钞票之后,陆舟便立刻前往停车场,坐上了那辆一直等候着的黑色红旗。 Returns to Zhongshan international.” “回钟山国际。” Good.” “好的。” Sat Wang Peng in driving position selected, started the automobile to open the road quickly. 坐在驾驶位上的王鹏点了下头,很快发动汽车开上了公路。 Although previously with that name a little long woman discussed when Riemann zeta function, basically is his selfish is saying in that what he himself has not even thought that this whistle jig to a milestone common discussion can also make him have some inspirations unexpectedly. 虽然先前与那位名字有点长的女士讨论黎曼zeta函数时,基本上都是他自顾自的在那说着,但连他自己都没想到的是,这种对牛弹琴一般的讨论竟然也能令他产生些许的灵感。 Sits in the back row of car(riage), has been silent silent Lu Zhou, suddenly jumped a few words. 坐在车的后排,一直沉默着一言不发的陆舟,忽然蹦出了一句话来。 I also lack the same tool.” “我还缺一样工具。” Held Wang Peng of steering wheel to stare slightly under. 扶着方向盘的王鹏微微愣了下。 „...... What tool?” “……什么工具?” It‘s nothing.” “没什么。” Needs to go to a supermarket?” “需要去一趟超市吗?” Lu Zhou shakes the head with a smile. 陆舟笑着摇了摇头。 If the supermarket has selling was good.” “如果超市有卖的就好了。” Had a premonition, if made him continue, only feared that the remaining this could the entire journey at compel the condition all the way ignorant, considering that oneself are still driving, therefore Wang Peng shut up very much wisely no longer opens the mouth, focused on the front road surface. 预感到如果让他继续说下去的话,只怕剩下的这一路上自己都会全程处在懵逼状态,考虑到自己还在开车,于是王鹏很明智地闭上嘴不再开口,将注意力集中到了前方的路面上。 The position and Zhongshan of Zijinshan Hotel international separate this is not far, was about a dozen minutes of driving distance, Lu Zhou then saw that familiar community front door quickly. 紫金山大酒店的位置与中山国际隔这本来就不远,不过十几分钟的车程,陆舟很快便看到了那熟悉的小区大门。 The car(riage) stop in main house gate, confessed after tomorrow not will use to look for itself, Lu Zhou then directly goes home, moved toward the staircase quickly. 车在家门口停稳,交代了一句明天不用来找自己之后,陆舟便径直回到了家中,快步走向了楼梯。 „To be not quite realistic through the general method solution Pi ( x ) function, since this -and-a-half centuries have challenged person not 10,000 also 1000 of this difficult problem, even if this mentality is to walk passes, the traditional method certain still had been considered.” “想要通过一般方法解决π(x)函数不太现实,这一个半世纪以来挑战过这个难题的人没有1万个也有一千个,即便这条思路是走得通的,传统的方法也一定已经被考虑过了。” Subversive result usually needs the subversive method to be solved. Dodges dance novel net 35 xs “颠覆性的结果往往需要颠覆性的方法来解决。闪舞小说网35xs” I need the new tool!” “我需要新的工具!” Quad-rotor unmanned helicopter wu wu flutters in side, swayed following Lu Zhou went to two buildings together. 四旋翼无人机呜呜地飘在旁边,摇摇晃晃的跟着陆舟一起上了二楼。 Because is unable to distinguish Lu Zhou that to think aloud the order that contains, following behind Xiao Ai to ask the sound curiously. 由于无法识别陆舟那句自言自语中所包含的命令,跟在身后的小艾好奇地问了声。 Master?” “主人?” Makes cup of coffee for me, wants the fast thawing, delivering to the study room is good.” “替我泡杯咖啡,要速溶的,送到书房就好。” Already such late......” “可是已经这么晚了……” Doesn't matter, tonight me would have no plan of sleeping.” “没关系,今晚我本来就没有睡觉的打算。” Good master, but please must take care.” “好的主人,但是请一定要注意身体哦。” Put out a hand to open the front door of study room, Lu Zhou only abandoned three characters, then walked quickly. 伸手推开了书房的大门,陆舟只扔下了三个字,便快步走了进去。 Knew!” “知道了!” To climb up Riemann hypothesis this Mount Everest one time is not realistic, this Mount Everest stands and waits for a long time in the apex of mathematics circles is too long, countless people once tried to challenge, but most situations spin at the foot of the hill, successor, although can find big pile of guideposts that aim at the summit, but can not have taking advantage of the steps of strength including one. 想要一次攀上黎曼猜想这座珠峰是不现实的,这座珠峰伫立在数学界的顶点已经太久,无数人都曾试图挑战过,但绝大多数的情况都是在山脚下打转,以至于后来者虽然能够找到一大堆指向山顶的路标,但连一块可以借力的阶梯都没有。 Which proof line no matter with, before leading to the summit must first fix the initial road. 不管是采用哪一条证明思路,在通往山顶之前都得先把最初的路修好。 At least, must make he himself see the hope of proof...... 至少,得让他自己看到证明的希望…… Sat before the desk, will pile, in these scratch papers of table corner broke up by rubbing to throw into the basket completely, Lu Zhou held one pack of new scratch papers to pile on the table. 一屁股坐在了书桌前,将堆在桌角的那些草稿纸全部揉碎扔进了纸篓里,陆舟重新抱出了一叠新的草稿纸堆在桌上。 Looks the basket that has crowded, in the table that pile soon the filled up scratch paper, the corners of the mouth of Lu Zhou brought back a happy expression suddenly, is shaking the head to think aloud. 看着那已经塞满的纸篓,还有桌上那堆即将被填满的草稿纸,陆舟的嘴角忽然勾起了一丝笑意,摇着头自言自语道。 „The project that my these years did...... this probably was most economizes.” “……这大概是我这些年来做的最省钱的项目了。” Even if when proving Yang Mills equation is connected the strong acting force and electromagnetic force, he wrote a letter to borrow the ce equipment to do the experiment of several groups of theory Physics, spent a lot of money. 35 xs 哪怕是在证明杨米尔斯方程时关联强相互作用力与电磁力,他都写信借用ce的设备做了几组理论物理学的实验,也花了不少钱。35xs But probably Riemann hypothesis this pure mathematical problem, perhaps needs to consume was also only the scratch paper and brain cell...... 但像是黎曼猜想这种纯粹的数学问题,恐怕需要耗费的也只是草稿纸和脑细胞了…… ...... …… Regarding Lu Zhou, the investment of wholeheartedly to a research of topic , seems very long beforehand matter. 对于陆舟而言,全身心的投入到一件课题的研究中,似乎已经是很久以前的事情了。 Since being the chief designers of lunar orbit construction committee, 自从担任月球轨道施工委员会的总设计师之后, He more is playing the role of leader, rarely like the common scientific research dog, broke through enemy lines in the forefront of scientific research again. 他更多的都是扮演着学术带头人的角色,很少再像一般的科研狗那样,在科研的最前线冲锋陷阵了。 However, even so, that familiar feeling is not unfamiliar regarding Lu Zhou. 不过,即便是如此,那熟悉的感觉对于陆舟而言却并不生疏。 Especially when the investment of his wholeheartedly to the issue on paper, that skewers of his pen tip has flowed Arabic numerals and ancient Greece symbols, looks like the classical note, the cheerful rhythm and serious rhythm will fuse in together, will form one silent actually to shock the mind the symphony. 尤其是当他全身心的投入到纸上的问题时,那一串串从他笔尖流淌过的阿拉伯数字与古希腊符号,就像是古典乐的音符,将欢快的节奏与严肃的韵律融合在一起,汇成一支无声却震撼心灵的交响乐。 In the coffee cup is ascending the mist diverges gradually, by the asphalt alley street light goes out gradually, when Purple Mountain all the sounds of nature entirely static under dim light of night, then does not know some, out of the window exuded the daybreak early morning splendor gradually, resembled is alarmed by that several clear song of the birds, Lu Zhou stopped the ball pen in hand gently, in the mouth discussed gently. 咖啡杯上升腾着的雾气渐渐散去,沥青小路旁的路灯渐渐熄灭,夜色下的紫金山万籁俱静,尔后不知些许时起,窗外渐渐泛起了黎明的晨辉,似是被那几声清脆的鸟鸣惊扰,陆舟轻轻停下了手中的圆珠笔,嘴中轻轻念道。 In ’ including knock-off Riemann hypothesis Weil to ‚ the research that suspects, the brand-new mathematical instrument étale cohomology method that Grothendieck establishes, world of mathematics to algebra Geometry and even the development of entire had the huge impetus, and eventually directly caused Deligne to the proof that Weil suspects.” “在对包括‘山寨版’黎曼猜想在内的韦伊猜想的研究中,格罗滕迪克创立的全新的数学工具étale上同调方法,对代数几何乃至整个数学领域的发展都产生了巨大的推动作用,并且最终直接导致了德利涅对韦伊猜想的证明。” Wanted to find the road to summit, first took the recent mountain top...... the weak suspicion of Riemann hypothesis.” “想要找到通往山顶的路,就得先拿下最近的山头……黎曼猜想的弱猜想。” It seems Twin Prime Conjecture to suspect that with Polignac the relations are the same, the latter is including in former's relations, although showed that the former cannot directly cause latter's proof, but can actually play the role of enlightenment to latter's proof. 就好像孪生素数猜想与波利尼亚克猜想之间的关系一样,后者是含于前者的关系,虽然证明前者不能直接导致后者的证明,但却可以对后者的证明起到启示的作用。 The exploration of the world of mathematics is so. 数学领域的探索就是如此。 From a weak form of suspicion to the suspicion, as well as to suspecting in the strong suspicion that promotes, when all issues were solved, when all clues were connected in together, a building of math also constructed. 从一个猜想的弱形式到猜想本身,以及对猜想本身在加以推广的强猜想,当所有的问题都被解决,当所有的线索都被串联在一起,一座数学的大厦也同样建好了。 Thinks of here, the scratch paper that Lu Zhou will write all over shoves open one side, wrote down one line of mathematical formulas on the paper. 想到这里,陆舟将写满的草稿纸推开到一边,在纸上写下了一行算式。 The corners of the mouth brought back a smile gradually, depressed in the Lu Zhou foreheads dignified also diverged much. 嘴角渐渐勾起了一丝笑容,郁结在陆舟眉宇间的凝重也随之散去了不少。 Wants certificate zero point to distribute in zero boundary completely, can first from removing does not have zero point region to start! re( s ≤ 0 and re (s ) ≥ 1 are the known results, so long as thinks the means to be able all regions outside this conclusion advancement arriving demarcation line, namely re (s ) < 1 / 2 and re (s ) > 1 / 2! Can prove the Riemann hypothesis!” “想要证明零点全部分布在零界限上,可以先从排除不存在零点的区域开始!re(s≤0及re(s)≥1是已知的结果,只要想办法能够将这个结论推进到临界线以外的所有区域,即re(s)<1/2与re(s)>1/2!就能够证明黎曼猜想!” I can first start from the right side boundary!” “我可以先从右侧边界开始!” This proof line is also called the critical belt/bring method! Different with proved 0% many zero point is located in zero boundary, through will contain all zero points the regions of critical belt/bring to reduce unceasingly, finally approaches the arriving demarcation line in the position, is the core of entire proof line! 这条证明思路也被称为临界带方法!有别于证明百分之多少的零点位于零界限上,通过将包含所有零点的临界带的区域不断缩小,最终逼近到临界线的位置上,便是整个证明思路的核心! So long as he can the right side boundary of critical belt/bring by the re (s ) = 1 toward left translation be re (s ) = 1-e ( e > 0 ), thus removes the re (s ) ≥ 1-e region, regardless of this E value is much small, can play the huge impetus to the proof of Riemann hypothesis! 只要他能将临界带的右侧边界由re(s)=1向左平移为re(s)=1-e(e>0),从而把re(s)≥1-e的区域排除掉,无论这个e的取值多小,都能对黎曼猜想的证明起到巨大的推动作用! The mentality has, now remains to solve this problem! 思路已经有了,现在就剩下去解决这个问题了! Although is only dark in one intuition, but this intuition told him, this puzzle might very much on algebra Geometry! But what unfortunately is, this is also a domain that he produces bad...... 虽然只是冥冥之中的一种直觉,但这种直觉告诉他,这块拼图很有可能就在代数几何上!而不巧的是,这也是他最不善产的一个领域…… If there is a person who can discuss to be good.” “要是有个能够讨论的人就好了。” However just had this idea, Lu Zhou along with even shakes the head. 然而刚刚产生这个想法,陆舟随即便摇了摇头。 Especially Professor Deligne...... 尤其是德利涅教授…… But it is a pity that something cannot talk clearly in the mail, the video phone perhaps is a method, but the atmosphere felt, definitely cannot compare Princeton afternoon tea time such more suitable academic on exchange. 但遗憾的是,有些东西不是在邮件里就能说清楚的,视频电话也许是一个方法,但无论是气氛还是感觉,肯定都比不上普林斯顿的下午茶时间那样更适合学术上的交流。 Currently speaking, he can depend upon also only then he himself. 目前来看,他能依靠的也只有他自己了。 Cannot rely on others.” “不能依赖别人。” However that said that Lu Zhou could not support the curiosity in heart finally, turned on the computer to land the mathoverflow page, searched for a next recent topic. 然而话是这么说,最终陆舟还是架不住心中的好奇,打开电脑登陆了mathoverflow的页面,搜寻了一下近期的话题。 However quick, on his face then revealed the obvious disappointment. 不过很快,他的脸上便露出了明显的失望。 Previously hung that paper on arxiv, he was also counting on can play the role that offered a few ordinary introductory remarks so that others may offer their valuable ideas, through caused the related discussion on mathoverfolw, thus saw some interesting ideas. 先前将那篇论文挂在arxiv上,他还指望着能够起到抛砖引玉的作用,通过在mathoverfolw上引发相关的讨论,从而看到一些有意思的想法。 However now looks like, his idea failed obviously. 不过现在看来,他的想法显然是落空了。 Even if relatively specialized mathematical discussion community, appears and disappears here inferiorly is still phd, the instinct of people also craves in the Eight Trigrams (gossip), rather than solution specific issue. 即便是相对专业的数学讨论社区,出没在这里的最次也是phd,人们的天性也是更热衷于八卦,而非解决具体的问题。 Although also some discussions centralized in sphere of learning, but content some of these discussions too obsolete. 虽然也有一些讨论集中在学术领域,但这些讨论的内容都有些太“过时”了。 It seems like closed up for several days.” “看来得闭关几天了。” Stretches oneself by the chair, Lu Zhou takes up cell phone from the table, sent a message to Wang Peng, after letting he did not need to look for itself for these days, then has the yawn to set out to go downstairs to walk the bathroom. 伸了个懒腰靠在了椅子上,陆舟从桌上拿起手机,给王鹏发了条短信,让他这几天都不用来找自己了之后,便打着哈欠起身下楼走去了浴室。 From the beginning he was counting on the evening can rely on that inspiration to hold anything, even handles a periodic result to come out, however it is a pity that the situation imagines compared with him wants stern many, is not at least relying on the little inspiration as well as evening's time can fiddle with. 一开始他是指望着晚上就能凭借着那一丝灵感抓住些什么,甚至于搞定一个阶段性成果出来的,然而遗憾的是,情况比他想象中的要严峻的多,至少不是凭借着一点点灵感以及一晚上的时间就能捣鼓出来的。 Now since has decided to close up, naturally does not need to struggle that time in one single day. 现在既然已经决定闭关,自然就没必要争那一朝一夕的功夫了。 Before starting official work, he planned first to make up that yesterday has not slept said again...... 在开始正式的工作之前,他打算先把昨天没有睡的那一觉补上再说……
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